Friday, 10 May 2019

Learn the Fundamentals of Algorithms from
The Bible on Algorithms
Third Edition by Cormen, et. al.

"As an educator and researcher in the field of algorithms for over two decades, I can unequivocally say that the Cormen et al book is the best textbook that I have ever seen on this subject. It offers an incisive, encyclopedic, and modern treatment of algorithms, and our department will continue to use it for teaching at both the graduate and undergraduate levels, as well as a reliable research reference." —Gabriel Robins, Deptt. of Computer Science, University of Virginia
 CLRS cormen clrs introduction to algorithms

This internationally acclaimed textbook provides a comprehensive introduction to the modern study of computer algorithms. It covers a broad range of algorithms in depth, yet makes their design and analysis accessible to all levels of readers. Each chapter is relatively self-contained and presents an algorithm, a design technique, an application area, or a related topic. The algorithms are described and designed in a manner to be readable by anyone who has done a little programming. The explanations have been kept elementary without sacrificing depth of coverage or mathematical rigor.

The third edition has been revised and updated throughout. It includes two completely new chapters, on van Emde Boas trees and multithreaded algorithms, and substantial additions to the chapter on recurrences (now called “Divide-and-Conquer”). It features improved treatment of dynamic programming and greedy algorithms and a new notion of edge-based flow in the material on flow networks. Many new exercises and problems have been added in this edition.

The text is intended primarily for students studying algorithms or data structures. As it discusses engineering issues in algorithm design, as well as mathematical aspects, it is equally well suited for self-study by technical professionals.

“Introduction to Algorithms, the ‘bible’ of the field, is a comprehensive textbook covering the full spectrum of modern algorithms: from the fastest algorithms and data structures to polynomial-time algorithms for seemingly intractable problems, from classical algorithms in graph theory to special algorithms for string matching, computational geometry, and number theory. The revised third edition notably adds a chapter on van Emde Boas trees, one of the most useful data structures, and on multithreaded algorithms, a topic of increasing importance.” —Daniel Spielman, Department of Computer Science, Yale University

I Foundations

1 The Role of Algorithms in Computing
2 Getting Started
3 Growth of Functions
4 Divide-and-Conquer
5 Probabilistic Analysis and Randomized Algorithms

II Sorting and Order Statistics

6 Heapsort
7 Quicksort
8 Sorting in Linear Time
9 Medians and Order Statistics

III Data Structures

10 Elementary Data Structures
11 Hash Tables
12 Binary Search Trees
13 Red-Black Trees
14 Augmenting Data Structures

IV Advanced Design and Analysis Techniques

15 Dynamic Programming
16 Greedy Algorithms
17 Amortized Analysis

V Advanced Data Structures
18 B-Trees
19 Fibonacci Heaps
20 Van Emde Boas Trees
21 Data Structures for Disjoint Sets

VI Graph Algorithms

22 Elementary Graph Algorithms
23 Minimum Spanning Trees
24 Single-Source Shortest Paths
25 All-Pairs Shortest Paths
26 Maximum Flow

VII Selected Topics

27 Multithreaded Algorithms
28 Matrix Operations
29 Linear Programming
30 Polynomials and the FFT
31 Number-Theoretic Algorithms
32 String Matching
33 Computational Geometry
34 NP-Completeness
35 Approximation Algorithms

VIII Appendix: Mathematical Background
A Summations
B Sets, Etc.
C Counting and Probability
D Matrices


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